If an object is dropped from a height of 96ft, the function h (t) = - 62 + 96 gives the height of the object after t seconds. When will the object hit the ground?

Question

Mathematics

Jaida Sloan

13 February, 02:26

If an object is dropped from a height of 96ft, the function h (t) = - 62 + 96 gives the height of the object after t seconds. When will the object hit the ground?

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Answers (1)

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Anthony Wagner · Answer 1

Step-by-step explanation:Since we want to know how much time elapsed since the object was launched until it ht the ground. At the ground, the height is 0.

Therefore the equation h (t) = 80t - 16t2 becomes 0 = 80t - 16t2

Solving the equation for t gives 80t = 16t2 or 16t=80 or t=5sec

The object hits the ground 5 seconds after it is launched.